Exploring Trigonometric Concepts and Applications

This video tutorial introduces right triangle trigonometry, explaining the relationships between the sides and angles of a right triangle. It covers the trigonometric ratios: sine, cosine, and tangent, and how to label the sides of a triangle as hypotenuse, adjacent, and opposite. The mnemonic device SOHCAHTOA is introduced to help remember the functions. The tutorial also demonstrates how to calculate trigonometric ratios for specific angles using these functions.

What is the primary focus of right triangle trigonometry?

• Calculating the height of a triangle

• Finding the median of a triangle

• The relationship between the triangle's area and perimeter

• The relationship between sides and angles of a right triangle

Which trigonometric function is used with an opposite side over a hypotenuse?

• Tangent

• Cosine

• Sine

• Cotangent

Which function is used for adjacent side over hypotenuse?

• Sine

• Tangent

• Secant

• Cosine

What does the 'adjacent' side refer to in trigonometry?

• The side opposite the right angle

• The side next to the angle of interest

• The longest side of the triangle

• The side opposite to the angle of interest

What does 'SOH' stand for in SOHCAHTOA?

• Sine equals Obtuse over Hypotenuse

• Sine equals Opposite over Height

• Sine equals Opposite over Hypotenuse

• Sine equals Opposite over Horizontal

What is the mnemonic device used to remember trigonometric ratios?

• SOHCAHTOA

• COHSATOH

• HOCASOTH

• TOAHCOHS

What does the 'T' in TOA represent?

• Taut

• Triangle

• Terminal

• Tangent

How do you calculate the sine of an angle?

• Adjacent side over opposite side

• Opposite side over hypotenuse

• Opposite side over adjacent side

• Adjacent side over hypotenuse

For angle A, if the opposite side is 3 and the hypotenuse is 5, what is the sine of A?

• 3/5

• 4/5

• 5/4

• 5/3

If the adjacent side to angle C is 3 and the hypotenuse is 5, what is the cosine of C?

• 4/5

• 5/3

• 3/5

• 3/4